{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Students_Tutorial answers Tutorial_5

Because all that is being done is to reclassify the

Info iconThis preview shows pages 3–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Because all that is being done is to reclassify the outcomes into success and failures Y will also be binomial. (Ignore the unlikely complication of the index staying the same.) ( ) = (1 − ) = 1.75 ( ) = (5 − ) = 5 − 3.25 = 1.75 and ( ) = (1 − ) = 1.1375 ( ) = (5 − ) = ( − ) = ( − 1) 2 ( ) = ( ) So . . ( ) = [ ( )] 1 ¡ = √ 1.1375 = 1.067 . 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 1 2 3 4 5 Probability Number of increases Stock index increases over 5 years 4. In each of the following cases X is a count. Does it have a binomial distribution? Justify you answer in each case. (a) You observe the sex of the next 20 babies born at a local hospital; X is the number of girls among them. Yes • Recall our concerns about the gender composition example used in lectures: the fertility decision about whether to have a third child or not being impacted by the gender mix of the first two children; possibility of multiple births. These are not relevant here. • Independence across trials now refers to births to different women and having a girl is not contagious! (b) A couple decides to continue to have children until their first girl is born; X is the total number of children the couple has. No • Here n is not fixed and depends on previous trial outcomes. 5. The amount of petrol sold daily by a service station is known to be uniformly distributed between 4,000 and 6,000 litres. What is the probability of sales on any one day being between 5,500 and 6,000 litres? ( ) = 1 2000 4000 ≤ ≤ 6000 = 0 ℎ ∴ (5500 ≤ ≤ 6000) = 500/2000 = 0.25 6. A software random number generator is designed to produce numbers within a specified range. We can consider any number in the range as a possible outcome. Suppose the random number Y can be any value between 0 and 2. Then the uniform density of the outcomes of Y will have a constant height between 0 and 2 and be zero elsewhere. height between 0 and 2 and be zero elsewhere....
View Full Document

{[ snackBarMessage ]}

Page3 / 6

Because all that is being done is to reclassify the...

This preview shows document pages 3 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online